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Finding the Third Proportional to 126,100,842 and 271,654,548

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Solution

The third proportional to 126,100,842 and 271,654,548 is: 585,215,707.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,100,842 : 271,654,548 = 271,654,548 : x
  2. Step 2: Convert to fraction form
    126,100,842/271,654,548 = 271,654,548/x
  3. Step 3: Cross multiply
    126,100,842x = 271,654,548 × 271,654,548
  4. Step 4: Simplify right side
    126,100,842x = 73,796,193,449,084,304
  5. Step 5: Solve for x
    x = 73,796,193,449,084,304/126,100,842
  6. Step 6: Final answer
    x = 585,215,707.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.